Economic order quantity in fuzzy sense with allowable shortage: A Karush Kuhn-tucker conditions approach
Authors :
K. Kalaiarasi 1 , M. Sumathi 2 and S. Daisy 3*
Author Address :
1 Department of Mathematics, Cauvery College for Women, Trichy-620018, Tamil Nadu, India.
2 Department of Mathematics, Khadir Mohideen College, Adhiramapattinam-614701, Tamil Nadu, India.
3 Department of Mathematics, M.V.Muthiah Government Arts College For Women, Dindigul-624001, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this article, a fuzzy inventory model with allowable shortage is formulated and solved. Fuzziness is introduced by allowing the cost components (holding cost, ordering cost, shortages cost and demand). In fuzzy environment, all related inventory parameters are represented to be octagonal fuzzy numbers .These fuzzy numbers have been used in order to determine the optimal order quantity and optimal total cost for the inventory model. The calculation of EOQ is carried out through defuzzification by using ranking function method. The model is solved using Kuhn- tucker conditions method. The results of the models are illustrated with numerical example.
Keywords :
Economic order quantity (EOQ), Fuzzy EOQ model, Octagonal fuzzy numbers, Fuzzy optimal order quantity, Fuzzy optimal total cost, Ranking function, Karush Kuhn- tucker condition.
DOI :
Article Info :
Received : March 24, 2019; Accepted : July 17, 2019.
